{"product_id":"weighted-morrey-spaces","title":"Weighted Morrey Spaces: Calderón-Zygmund Theory and Boundary Problems","description":"\u003cp\u003eThis monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for weakly elliptic systems in the setting of Muckenhoupt-weighted Morrey spaces and their pre-duals. \u003c\/p\u003e \u003cp\u003eA functional analytic framework for Muckenhoupt-weighted Morrey spaces in the rough setting of Ahlfors regular sets is built from the ground up and subsequently supports a Calderón-Zygmund theory on this brand of Morrey space in the optimal geometric environment of uniformly rectifiable sets. A thorough duality theory for such Morrey spaces is also developed and ushers in a never-before-seen Calderón-Zygmund theory for Muckenhoupt-weighted Block spaces. Both weighted Morrey and Block spaces are also considered through the lens of (generalized) Banach function spaces, and ultimately, a variety of boundary value problems are formulated and solved with boundary data arbitrarily prescribed from either scale of space. \u003c\/p\u003e \u003cp\u003eThe fairly self-contained nature of this monograph ensures that graduate students, researchers, and professionals in a variety of fields, e.g., function space theory, harmonic analysis, and PDE, will find this monograph a welcome and valuable addition to the mathematical literature. \u003c\/p\u003e","brand":"None","offers":[{"title":"Hardcover","offer_id":46316303909074,"sku":"9783111458168","price":203.99,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_18cc59ee-d0f6-4062-94db-110797de4ab1.jpg?v=1763634674","url":"https:\/\/www.indigo.ca\/products\/weighted-morrey-spaces","provider":"Indigo","version":"1.0","type":"link"}